Spjotvoll, Emil; Martens, Harald; Volden, Rolf (1982, ASQC and the American Statistical Association) Agricultural University of Norway, Norway; Norwegian Food Research Institute, Norway; Norweigan Computing Center, Norway
The problem considered is the identification of two unknown chemical compounds and the estimation of their proportions in a set of unknown mixtures of the two compounds, given data that are vectors of measurements on their mixtures. It is assumed that the expected value of a mixture vector is an unknown convex linear combination of two unknown component vectors and least squares estimation is used to obtain a set of possible solutions of the mixing proportions and the component vectors. Obtaining a unique solution requires additional constraints or information. The solution set is interpreted geometrically and examples involving amino acids and light absorbance data are given.
Least squares,Principal components